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Finding the Fourth Proportional to 137,743.60, 206,226.60 and 133,855.60

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Solution

The fourth proportional to 137,743.60, 206,226.60 and 133,855.60 is: 200,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,743.60 : 206,226.60 = 133,855.60 : x
  2. Step 2: Convert to fraction form
    137,743.60/206,226.60 = 133,855.60/x
  3. Step 3: Cross multiply
    137,743.60x = 206,226.60 × 133,855.60
  4. Step 4: Simplify right side
    137,743.60x = 27,604,585,278.96
  5. Step 5: Solve for x
    x = 27,604,585,278.96/137,743.60
  6. Step 6: Final answer
    x = 200,405.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.